{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "65ba1237",
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fd11ab56",
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_data(length_nums, repeat_n):\n",
    "    nums = list(range(length_nums))\n",
    "    target = random.choice(nums)\n",
    "    nums = [element for element in nums for _ in range(random.randint(1,repeat_n))]\n",
    "    random.shuffle(nums)\n",
    "    return nums, target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "651449f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([2, 8, 4, 0, 7, 9, 8, 0, 6, 5, 6, 3, 1, 9, 7], 8)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nums, target = generate_data(10,2)\n",
    "nums,target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "94ed517c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#双指针算法\n",
    "def algorithm1(nums, target):\n",
    "    fast = 0\n",
    "    slow = 0\n",
    "    size = len(nums)\n",
    "    while fast < size:\n",
    "        if nums[fast] != target:\n",
    "            nums[slow] = nums[fast]\n",
    "            slow += 1\n",
    "        fast += 1\n",
    "    return nums\n",
    "#暴力拆解\n",
    "def algorithm2(nums, target):\n",
    "    i, l = 0, len(nums)\n",
    "    while i < l:\n",
    "        if nums[i] == target: # 找到等于目标值的节点\n",
    "            for j in range(i+1, l): # 移除该元素，并将后面元素向前平移\n",
    "                nums[j - 1] = nums[j]\n",
    "            l -= 1\n",
    "            i -= 1\n",
    "        i += 1\n",
    "    return nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "598a9d07",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 4, 0, 7, 9, 0, 6, 5, 6, 3, 1, 9, 7, 9, 7]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "algorithm1(nums, target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "cf521cf1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 4, 0, 7, 9, 0, 6, 5, 6, 3, 1, 9, 7, 9, 7]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "algorithm2(nums, target)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c098b6d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "100"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#长度序列\n",
    "start_length_nums =10\n",
    "end_length_nums =110\n",
    "length_nums = list(range(start_length_nums, end_length_nums, 1))\n",
    "len(length_nums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "78c6eaed",
   "metadata": {},
   "outputs": [],
   "source": [
    "#运行时间计算函数\n",
    "def measure(algorithm, length_nums):\n",
    "    trial_nums = 20    #每个序列长度测试trail_nums次，算平均运行时间\n",
    "    time_list = []\n",
    "    for length in length_nums:\n",
    "        nums, target = generate_data(length,int(length*0.5))\n",
    "        total_time = 0\n",
    "        for _ in range(trial_nums):\n",
    "            target = random.choice(nums)\n",
    "            start_time = time.perf_counter() \n",
    "            algorithm(nums, target)\n",
    "            end_time = time.perf_counter() \n",
    "            total_time += end_time - start_time\n",
    "        avg_time = total_time / trial_nums\n",
    "        time_list.append(avg_time)\n",
    "    return time_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "982761c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "#时间复杂度O（n）\n",
    "o_n = [0.8*num/100000 for num in length_nums]\n",
    "o_n2 = [0.05*num*num/100000 for num in length_nums]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "20c72de1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制时间复杂度图\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(length_nums, measure(algorithm1, length_nums), label='Algorithm 1 - Time')\n",
    "plt.plot(length_nums, measure(algorithm2, length_nums), label='Algorithm 2 - Time')\n",
    "plt.plot(length_nums, o_n, label='O(n)')\n",
    "plt.plot(length_nums, o_n2, label='O(n^2)')\n",
    "plt.xlabel('Sequence Length')\n",
    "plt.ylabel('Time (seconds)')\n",
    "plt.title('Time Complexity')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
